Equilibrium price as a coincidence point of two mappings
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 225-237
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The existence of an equilibrium price vector in a nonlinear market model is analyzed. In the model, the demand and supply functions are obtained by maximizing the producer utility and profit, respectively. Sufficient conditions for the existence of an equilibrium price vector and its stability with respect to small perturbations in the model are given. The results are consequences of theorems on the existence and stability of coincidence points in the theory of $\alpha$-covering mappings.
@article{ZVMMF_2013_53_2_a4,
author = {A. V. Arutyunov and S. E. Zhukovskiy and N. G. Pavlova},
title = {Equilibrium price as a coincidence point of two mappings},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {225--237},
publisher = {mathdoc},
volume = {53},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a4/}
}
TY - JOUR AU - A. V. Arutyunov AU - S. E. Zhukovskiy AU - N. G. Pavlova TI - Equilibrium price as a coincidence point of two mappings JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 225 EP - 237 VL - 53 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a4/ LA - ru ID - ZVMMF_2013_53_2_a4 ER -
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A. V. Arutyunov; S. E. Zhukovskiy; N. G. Pavlova. Equilibrium price as a coincidence point of two mappings. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 225-237. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a4/